Regularity of optimal transport maps and partial differential inclusions
type: Item
instance of: scholarly article
title: Regularity of optimal transport maps and partial differential inclusions
zbMATH Open document ID: 1241.35033
DOI: 10.4171/RLM/602
author: Luigi Ambrosio
author: Guido De Philippis
author: Bernd Kirchheim
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2012-05-08T00:00:00Z
review text: Summary: We address the issue of Sobolev regularity of solutions of Monge-Ampère equations in a borderline case and show how this question is related to a rigidity problem for partial differential inclusions.
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 6031539
zbMATH Keywords: Monge-Ampère equations
zbMATH Keywords: Sobolev regularity
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/rlm/602
OpenAlex ID: W2088856022
description: scientific article; zbMATH DE number 6031539